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Finding the Fourth Proportional to 138,858.76, 208,009.23 and 63,874.63

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Solution

The fourth proportional to 138,858.76, 208,009.23 and 63,874.63 is: 95,683.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,858.76 : 208,009.23 = 63,874.63 : x
  2. Step 2: Convert to fraction form
    138,858.76/208,009.23 = 63,874.63/x
  3. Step 3: Cross multiply
    138,858.76x = 208,009.23 × 63,874.63
  4. Step 4: Simplify right side
    138,858.76x = 13,286,512,602.83
  5. Step 5: Solve for x
    x = 13,286,512,602.83/138,858.76
  6. Step 6: Final answer
    x = 95,683.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.